What is the Greatest Common Factor of 33789 and 33804?

Greatest common factor (GCF) of 33789 and 33804 is 3.

GCF(33789,33804) = 3

We will now calculate the prime factors of 33789 and 33804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33789 and 33804.

How to find the GCF of 33789 and 33804?

We will first find the prime factorization of 33789 and 33804. After we will calculate the factors of 33789 and 33804 and find the biggest common factor number .

Step-1: Prime Factorization of 33789

Prime factors of 33789 are 3, 7, 1609. Prime factorization of 33789 in exponential form is:

33789 = 3¹ × 7¹ × 1609¹

Step-2: Prime Factorization of 33804

Prime factors of 33804 are 2, 3, 313. Prime factorization of 33804 in exponential form is:

33804 = 2² × 3³ × 313¹

Step-3: Factors of 33789

List of positive integer factors of 33789 that divides 33789 without a remainder.

1, 3, 7, 21, 1609, 4827, 11263

Step-4: Factors of 33804

List of positive integer factors of 33804 that divides 33789 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 313, 626, 939, 1252, 1878, 2817, 3756, 5634, 8451, 11268, 16902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33789 and 33804. The biggest common factor number is the GCF number.
So the greatest common factor 33789 and 33804 is 3.

Also check out the Least Common Multiple of 33789 and 33804